Search a number
-
+
150876270 = 2355292141
BaseRepresentation
bin10001111111000…
…11000001101110
3101111220022100000
420333203001232
5302111020040
622545445130
73511266336
oct1077430156
9344808300
10150876270
1178190636
12426407a6
13253479cc
14160760c6
15d3a4130
hex8fe306e

150876270 has 96 divisors (see below), whose sum is σ = 421031520. Its totient is φ = 38828160.

The previous prime is 150876263. The next prime is 150876289. The reversal of 150876270 is 72678051.

It is a super-2 number, since 2×1508762702 = 45527297698225800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69400 + ... + 71540.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2150876270 is an apocalyptic number.

150876270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150876270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

150876270 is an abundant number, since it is smaller than the sum of its proper divisors (270155250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150876270 is a wasteful number, since it uses less digits than its factorization.

150876270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 150876270 is about 12283.1701933988. The cubic root of 150876270 is about 532.3619161899.

The spelling of 150876270 in words is "one hundred fifty million, eight hundred seventy-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 783 810 870 1215 1305 1566 2141 2349 2430 2610 3915 4282 4698 6423 7047 7830 10705 11745 12846 14094 19269 21410 23490 32115 35235 38538 57807 62089 64230 70470 96345 115614 124178 173421 186267 192690 289035 310445 346842 372534 520263 558801 578070 620890 867105 931335 1040526 1117602 1676403 1734210 1862670 2601315 2794005 3352806 5029209 5202630 5588010 8382015 10058418 15087627 16764030 25146045 30175254 50292090 75438135 150876270